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Finding the Third Proportional to 1,757,826,613.50 and 3,757,403,382

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Solution

The third proportional to 1,757,826,613.50 and 3,757,403,382 is: 8,031,554,458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757,826,613.50 : 3,757,403,382 = 3,757,403,382 : x
  2. Step 2: Convert to fraction form
    1,757,826,613.50/3,757,403,382 = 3,757,403,382/x
  3. Step 3: Cross multiply
    1,757,826,613.50x = 3,757,403,382 × 3,757,403,382
  4. Step 4: Simplify right side
    1,757,826,613.50x = 14,118,080,175,065,038,848
  5. Step 5: Solve for x
    x = 14,118,080,175,065,038,848/1,757,826,613.50
  6. Step 6: Final answer
    x = 8,031,554,458.58

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.